Cutting circles on the table saw is my preferred way
of cutting large circles.
I have use the band saw method, the router method the
jig saw method but find I like the table saw method
The table saw method like Clint says is a little slow
and it is a little messy (lots of dust)
but it gives you a perfect circle with finished edges you don't
even have to sand.
I make all my lazy-susan disk on the tables saw.
Over the years I have made quite a few circles on the
table saw and no way do if find it scary or un-safe.
Like in table saw operation you have to pay attention
to what you are doing.
I must say
I have never done this with something as
thick as 1-3/4.
If I were I would rough out the circle with band saw
or jig saw staying away of the finished line by a
1/4" inch or so and
then cut on the table saw.
To cut circles on the table, I first attach a false
table on the left hand side of the table saw blade.
draw a line perpendicular from the center of
the blade on the false tabletop.
On that line measure over from the blade 1/2 the
distance of the diameter of the circle and
place a pin or nail thru the stock,
this is your pivot point.
With the table saw blade below the table
turn on the saw and then
raise the blade just about an 1/8" at a time and
spin the stock unit you get thru the material.